Prof Eddie, I tried calculating the principal argument theta for z= -1 + i but my book says that it is 3pie/4 and the root is ,/2..... How is that possible?
You're measuring the argument in the second Quadrant, so you have to measure the longer arc, from the positive real axis to Z. If you look to cos theta = SQRT(2)/2, you'll get the intern angle (measured from the negative real axis to Z), not the arg Z.
@@JaceGameplay could that modulus be coming from the origin and bisect left? Because I just see sort of a square with the 90 degree angle and I’m assuming the modulus would be a hypotenuse. There would be another 45 degree angle in which I could no think of any other option but to add that with the 90 degree angle to make 3pie/4. However that’s not the definition of a principal argument
2:22 *casually draws a perfect straight line*
3:17 soo smooth
You're such a great teacher, thank you!
such a good teacher with genuine enthusiasm.
love from Bangladesh
Thanks Edie Woo for helping me in my University Entrance exam in near the end, love ~ from Vietnam
Teachers teach math in the same concept but the way explaining is interesting.
Wow, that zoom was cool. Mr. Woo, you got a nice high res camera xD
The great mathmatician - Eddie woo. I am a big fan of you. I want to meet with you but I am in India 🇮🇳 . 😭
Prof Eddie, I tried calculating the principal argument theta for z= -1 + i but my book says that it is 3pie/4 and the root is ,/2..... How is that possible?
You're measuring the argument in the second Quadrant, so you have to measure the longer arc, from the positive real axis to Z.
If you look to cos theta = SQRT(2)/2, you'll get the intern angle (measured from the negative real axis to Z), not the arg Z.
@@JaceGameplay could that modulus be coming from the origin and bisect left? Because I just see sort of a square with the 90 degree angle and I’m assuming the modulus would be a hypotenuse. There would be another 45 degree angle in which I could no think of any other option but to add that with the 90 degree angle to make 3pie/4. However that’s not the definition of a principal argument
great video, what grade is this?
I LOVE YOU , MR WOO. love from Kazakhstan 🇰🇿
I love you Eddie Woo
are you teaching complex analysis to high schoolers?
Complex analysis involves differentiating functions of complex inputs. This is more like complex algebra.
this is just intro to complex numbers. complex analysis is way more cooked
What course is this?
Year 12 highschool math
how i wish you were my maths teacher
best ever
I which this teacher was in school
7th on comments btw.